Answer:
a
x
2
+
b
x
+
c
=
0
the two roots of the equation take the form
x
1
,
2
=
−
b
±
√
b
2
−
4
a
c
2
a
So, start by adding
−
5
to both sides of the equation to get
2
x
2
+
x
−
5
=
5
−
5
2
x
2
+
x
−
5
=
0
Notice that you have
a
=
2
,
b
=
1
, and
c
=
−
5
. This means that the two solutions will be
x
1
,
2
=
−
1
±
√
1
2
−
4
⋅
2
⋅
(
−
5
)
2
⋅
2
x
1
,
2
=
−
1
±
√
41
4
You can simplify this if you want to get
x
1
=
−
1
+
√
41
4
≅
1.35078
and
x
2
=
−
1
−
√
41
4
≅
−
1.85078
Answer:
.38
Step-by-step explanation:
Given that they have green eyes, we only look at the green row
Total is 3+5+5 = 13
Red hair is 5
P( red hair ) red / total = 5/13 =.384615385
Answer:
C
Step-by-step explanation:
From the given coordinates
A(6, 0), B(0, 0) then AB = 6 - 0 = 6
B(0, 0), C(0, 8) then BC = 8 - 0 = 8
To calculate AC use Pythagoras' theorem on the right triangle formed
AC² = AB² + BC² = 6² + 8² = 36 + 64 = 100
Take the square root of both sides, hence
AC =
= 10
Perimeter = AB + BC + AC = 6 + 8 + 10 = 24 → C
Answer:
The missing value in the ordered pair is 66
Step-by-step explanation:
Given that:
(12,10) and (-2,r)
Slope = m = -4
We have to find the value of r so that the line has a slope of -4.
Slope is the steepness of line which is denoted by m.
Here,

Putting the values in slope of line formula,

Multiplying both sides by -14

The value of r is 66
Hence,
The missing value in the ordered pair is 66